Class information for:
Level 2: PERMANENCE//GLOBAL STABILITY//PREDATOR PREY SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
560 14490 30.0 57%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
560 2             PERMANENCE//GLOBAL STABILITY//PREDATOR PREY SYSTEM 14490
834 1                   POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM 3022
2065 1                   EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION 2368
6866 1                   CHEMOSTAT//PERMANENCE//IMPULSIVE EFFECT 1434
8888 1                   ADAPTIVE DYNAMICS//EVOLUTIONARY BRANCHING//INVASION FITNESS 1208
10473 1                   ASYNCHRONOUS EXPONENTIAL GROWTH//SIZE STRUCTURED POPULATION MODELS//AGE STRUCTURED POPULATION 1060
11150 1                   MORAN EFFECT//SPATIAL SYNCHRONY//INTEGRAT ECOL UNIT 1004
14292 1                   STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS 779
16849 1                   CUMULANT TRUNCATION//CRITICAL COMMUNITY SIZE//TSIR MODEL 632
18808 1                   ROCK PAPER SCISSORS GAME//FISHER KOLMOGOROV PETROVSKII PISKUNOV EQUATION//ROCK SCISSORS PAPER 535
20276 1                   EARLY WARNING SIGNALS//CRITICAL TRANSITION//REGIME SHIFT 468
20532 1                   ALLEE EFFECT//GRP ECOL MATEMAT//COMPONENT ALLEE EFFECT 456
20569 1                   TOXIN PRODUCING PHYTOPLANKTON//PARADOX OF PLANKTON//ZHEJIANG PROV WATER ENVIRONM MARINE BIO 454
23346 1                   ECO EPIDEMIOLOGICAL MODEL//ECO EPIDEMIOLOGICAL SYSTEM//ECO EPIDEMIOLOGY 349
23869 1                   LIFE HISTORY OMNIVORY//BIOMASS OVERCOMPENSATION//PHYSIOLOGICALLY STRUCTURED POPULATION MODELS 332
26270 1                   AGGREGATION OF VARIABLES//APPROXIMATE AGGREGATION OF VARIABLES//AGGREGATION METHODS 259
33042 1                   LOCKHEED MARTIN MSD//SUBPOPULATION LOCUS//DISTRIBUTED SUSCEPTIBILITY 130

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 PERMANENCE authKW 971980 4% 79% 581
2 GLOBAL STABILITY authKW 555788 4% 44% 607
3 PREDATOR PREY SYSTEM authKW 478991 2% 77% 296
4 PREDATOR PREY MODEL authKW 392181 2% 69% 272
5 POSITIVE PERIODIC SOLUTION authKW 354611 2% 71% 239
6 EPIDEMIC MODEL authKW 351990 2% 51% 327
7 HOPF BIFURCATION authKW 330615 4% 27% 588
8 GLOBAL ATTRACTIVITY authKW 317898 2% 59% 254
9 STAGE STRUCTURE authKW 310526 2% 66% 223
10 BASIC REPRODUCTION NUMBER authKW 256246 2% 49% 250

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematical & Computational Biology 172787 20% 3% 2922
2 Mathematics, Applied 115494 36% 1% 5182
3 Biology 60545 19% 1% 2704
4 Ecology 42165 20% 1% 2880
5 Evolutionary Biology 23532 9% 1% 1267
6 Mathematics, Interdisciplinary Applications 21802 9% 1% 1330
7 Mathematics 11226 13% 0% 1933
8 Physics, Mathematical 6709 7% 0% 963
9 Mechanics 1408 4% 0% 646
10 Physics, Fluids & Plasmas 1126 3% 0% 392

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 MATH 86760 29% 1% 4249
2 AGR ECOL UNIT 72431 1% 47% 74
3 MATH STAT 43758 8% 2% 1223
4 PL MATH 42252 6% 2% 899
5 EVOLUT ECOL PROGRAM 37078 0% 28% 64
6 INTERDISCIPLINARY PROGRAM PL MATH 35653 0% 71% 24
7 GUIZHOU ECON SYST SIMULAT 35472 0% 38% 45
8 AD T DYNAM NETWORK 32442 0% 43% 36
9 MATH INFORMAT SCI 30710 2% 4% 347
10 MATH BIOL ECOL 29098 0% 63% 22

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF MATHEMATICAL BIOLOGY 220170 3% 21% 493
2 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 201132 2% 42% 230
3 MATHEMATICAL BIOSCIENCES 200786 4% 18% 543
4 THEORETICAL POPULATION BIOLOGY 150028 3% 20% 363
5 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 145235 3% 17% 413
6 MATHEMATICAL BIOSCIENCES AND ENGINEERING 110055 1% 26% 198
7 JOURNAL OF BIOLOGICAL SYSTEMS 97228 1% 28% 164
8 BULLETIN OF MATHEMATICAL BIOLOGY 68415 2% 12% 284
9 JOURNAL OF BIOLOGICAL DYNAMICS 67734 1% 44% 74
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 55421 1% 12% 213

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 PERMANENCE 971980 4% 79% 581 Search PERMANENCE Search PERMANENCE
2 GLOBAL STABILITY 555788 4% 44% 607 Search GLOBAL+STABILITY Search GLOBAL+STABILITY
3 PREDATOR PREY SYSTEM 478991 2% 77% 296 Search PREDATOR+PREY+SYSTEM Search PREDATOR+PREY+SYSTEM
4 PREDATOR PREY MODEL 392181 2% 69% 272 Search PREDATOR+PREY+MODEL Search PREDATOR+PREY+MODEL
5 POSITIVE PERIODIC SOLUTION 354611 2% 71% 239 Search POSITIVE+PERIODIC+SOLUTION Search POSITIVE+PERIODIC+SOLUTION
6 EPIDEMIC MODEL 351990 2% 51% 327 Search EPIDEMIC+MODEL Search EPIDEMIC+MODEL
7 HOPF BIFURCATION 330615 4% 27% 588 Search HOPF+BIFURCATION Search HOPF+BIFURCATION
8 GLOBAL ATTRACTIVITY 317898 2% 59% 254 Search GLOBAL+ATTRACTIVITY Search GLOBAL+ATTRACTIVITY
9 STAGE STRUCTURE 310526 2% 66% 223 Search STAGE+STRUCTURE Search STAGE+STRUCTURE
10 BASIC REPRODUCTION NUMBER 256246 2% 49% 250 Search BASIC+REPRODUCTION+NUMBER Search BASIC+REPRODUCTION+NUMBER

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 VENTURINO, E , (2016) ECOEPIDEMIOLOGY: A MORE COMPREHENSIVE VIEW OF POPULATION INTERACTIONS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 11. ISSUE 1. P. 49 -90 104 93% 5
2 SUN, GQ , (2016) MATHEMATICAL MODELING OF POPULATION DYNAMICS WITH ALLEE EFFECT.NONLINEAR DYNAMICS. VOL. 85. ISSUE 1. P. 1 -12 60 73% 13
3 ABBOTT, KC , (2011) A DISPERSAL-INDUCED PARADOX: SYNCHRONY AND STABILITY IN STOCHASTIC METAPOPULATIONS.ECOLOGY LETTERS. VOL. 14. ISSUE 11. P. 1158 -1169 76 84% 47
4 ROMAN, A , DASGUPTA, D , PLEIMLING, M , (2016) A THEORETICAL APPROACH TO UNDERSTAND SPATIAL ORGANIZATION IN COMPLEX ECOLOGIES.JOURNAL OF THEORETICAL BIOLOGY. VOL. 403. ISSUE . P. 10 -16 56 92% 4
5 BISWAS, S , SAIFUDDIN, M , SASMAL, SK , SAMANTA, S , PAL, N , ABABNEH, F , CHATTOPADHYAY, J , (2016) A DELAYED PREY-PREDATOR SYSTEM WITH PREY SUBJECT TO THE STRONG ALLEE EFFECT AND DISEASE.NONLINEAR DYNAMICS. VOL. 84. ISSUE 3. P. 1569 -1594 72 87% 0
6 MOWLAEI, S , ROMAN, A , PLEIMLING, M , (2014) SPIRALS AND COARSENING PATTERNS IN THE COMPETITION OF MANY SPECIES: A COMPLEX GINZBURG-LANDAU APPROACH.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 47. ISSUE 16. P. - 65 92% 5
7 SZOLNOKI, A , MOBILIA, M , JIANG, LL , SZCZESNY, B , RUCKLIDGE, AM , PERC, M , (2014) CYCLIC DOMINANCE IN EVOLUTIONARY GAMES: A REVIEW.JOURNAL OF THE ROYAL SOCIETY INTERFACE. VOL. 11. ISSUE 100. P. - 88 48% 59
8 UPADHYAY, RK , (2009) OBSERVABILITY OF CHAOS AND CYCLES IN ECOLOGICAL SYSTEMS: LESSONS FROM PREDATOR-PREY MODELS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 19. ISSUE 10. P. 3169-3234 91 75% 3
9 INTOY, B , PLEIMLING, M , (2013) EXTINCTION IN FOUR SPECIES CYCLIC COMPETITION.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT. VOL. . ISSUE . P. - 60 94% 9
10 DAKOS, V , VAN NES, EH , SCHEFFER, M , CARPENTER, SR , (2015) GENERIC INDICATORS OF ECOLOGICAL RESILIENCE: INFERRING THE CHANCE OF A CRITICAL TRANSITION.ANNUAL REVIEW OF ECOLOGY, EVOLUTION, AND SYSTEMATICS, VOL 46. VOL. 46. ISSUE . P. 145 -+ 67 70% 11

Classes with closest relation at Level 2


Rank Class id link
1 1877 CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED
2 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
3 1187 EXPERIMENTAL EVOLUTION//EVOLUTIONARY BIOLOGY//EVOLUTION
4 1806 GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//TIME VARYING DELAY
5 2260 ACTIVE PARTICLES//BRANCHING PROCESS//TUMOR GROWTH
6 661 ECOLOGY//SPECIES RICHNESS//MACROECOLOGY
7 1163 INFLUENZA//PANDEMIC//DISASTER MEDICINE AND PUBLIC HEALTH PREPAREDNESS
8 3282 TURNPIKE PROPERTY//INFINITE HORIZON PROBLEMS//GOOD FUNCTION
9 4183 STRAY VOLTAGE//MILKLINES//MILKING MACHINES
10 3627 PIGMENT PATTERN//GROWING DOMAIN//XANTHOPHORE

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